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1、I硕 士 学 位 论 文论文题目：论文题目：高中立体几何问题系统的设计研高中立体几何问题系统的设计研究究学科专业：教育技术学教育技术学完成日期：2010 年年 4 月月高中立体几何问题系统的设计研究高中立体几何问题系统的设计研究摘摘 要要本研究是在“以学习活动为中心的教学设计”理论基础上的学科教学设计的研究，所选内容为高中数学立体几何部分。由于数学问题解决主要是一个推理过程，因此可以在问题的知识推理路径的基础上进行操作，通过改变知识推理路径来设计出新问题，进而形成问题系统。问题系统设计的操作过程是：首先寻找问题原型，画出问题原型的知识推理路径；再根据知识网络图改变条件或改变结论,产生新的知识推
2、理路径；然后修改问题描述从而产生多个新的题目；最后将设计的问题划分为不同的问题系统。由于立体几何部分的特殊性，有一些特殊的方法如条件和结论倒置及确定几何形状的方法，这些方法有助于设计出更多新颖的题目。本研究所确定的操作技术，不但是一线教师提供问题设计的基础，而且也是教学设计理论的深入发展。本研究采用的方法是缺陷分析法，通过向专家教师发放问卷来调查技术产物即问题系统的缺陷，从而探寻分析问题系统的缺陷是否是技术的缺陷造成的，从而对问题系统设计的技术进行进一步的改进。本研究主要包括以下三部分：(1)高中数学知识建模规范。该部分就高中数学学科的知识点类型、知识点间的关系类型构建了高中数学学科建模的规范
3、。知识建模规范用于绘制知识建模图，一种知识网络图。(2)问题系统设计技术。在已研究的基础上，重点探索了立体几何部分问题系统设计的技术。(3)问题系统设计技术的缺陷分析。技术人造物缺陷分析法是本研究最主要II的研究方法。在该部分，主要根据问卷调查的结果，总结缺陷中与技术环节相关的方面，并进行进一步的改进。关键词关键词：问题，问题设计，问题系统，教学设计，知识建模，知识推理路径，立体几何IIIA Study on the Problem Systems Design of Solid Geometry for Senior Middle School StudentABSTRACTThe stud
4、y is based on Learning Activity-Centered Instructional Design, and it is the subject of instructional design. We selected the solid geometry, part of senior middle school Math. As the problem-solving in math is a reasoning process, so we can design a new problem when we change the Knowledge Ratiocin
5、ation Routes of one problem. The procedure of the problem system design is mainly: First, find the prototype, and draw the Knowledge Ratiocination Routes. Then change the condition and the conclusions of the problem, and modify the description of the problem. Finally, you should divide the problems
6、into different problem systems. As a special part of Math, there are some special methods in problem system design, such as invert the condition and the conclusion and determine the geometric shape. And these methods can help to get more innovative topics. Limitation analysis of technological artifa
7、cts is used in this study. This is a kind of research methods. One can analyze the limitation of the technology through investigating the limitation of the technological artifacts. In the study we gave a questionnaire to get the limitation of the problems，then analyzed the limitation of the technolo
8、gy of the problem systems design. So that we can improve the technology of the problem systems design. The study is subject of instructional design, so it can further the development of instructional design theory. It can also provide the technology of problems design. Teacher can design a lot of pr
9、oblems by this technology, so that the student can solve different problems and it can also help carry out hierarchical teaching.The study includes the following three parts:(1) Knowledge modeling rules for High Middle School Mathematics. In this part, we established the knowledge modeling rules fro
10、m two dimensions: the type of the knowledge point and the relationship between knowledge points.(2) The technology of the problem systems design. We explored the technology of IVproblem systems design based on the existing research.(3) The analysis of the technology of the problem system design. Lim
11、itation analysis of technological artifacts is the most important research method used in this study. In this part, we made a summary of technological process-related problems in the limitation analysis after the questionnaire and improved the technology of the problem system design on the basis of
12、this.Key Words: Instructional Design, Problem, Problem Design, Problem System, Instructional Design, Knowledge Network, Knowledge Ratiocination Routes, Solid Geometry1目目 录录高中立体几何问题系统的设计研究 .I A Study on the Problem System Design of Solid Geometry for Senior High School Student.II 目 录.1 1 研究的意义.2 1.1 研究的理论意义.2 1.2 本研究的实践意义.2 2 国内外研究现状综述.3 2.1 国外研究现状.3 2.2 国内研究现状.4 2.3 立体几何教学研究.7 2.4 总结.7 3 研究概述.
